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Consider the integral In the following, we will evaluate the integral using two

ID: 1948396 • Letter: C

Question

Consider the integral In the following, we will evaluate the integral using two methods. First, rewrite the integral by multiplying out the integrand: Then evaluate the resulting integral term-by-term: Next, rewrite the integral using the substitution w = x4 + 1: Evaluate this integral (and back-substitute for w) to find the value of the original integral: How are your expressions from parts (A) and (B) different? What is the difference between the two? (Ignore the constant of integration.) (answer from B)-(answer from A) Are both of the answers correct? (Be sure you can explain why they are!)

Explanation / Answer

In all the parts we get the annswer as 4(x^8/8 + x^4/4) = x^8/2+ x^4 as the initial question is same for all i have given the right answer, rate positively please